Q: What are the factor combinations of the number 330,430,135?

 A:
Positive:   1 x 3304301355 x 660860277 x 4720430535 x 94408611277 x 2587556385 x 517517393 x 446958939 x 36965
Negative: -1 x -330430135-5 x -66086027-7 x -47204305-35 x -9440861-1277 x -258755-6385 x -51751-7393 x -44695-8939 x -36965


How do I find the factor combinations of the number 330,430,135?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 330,430,135, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 330,430,135
-1 -330,430,135

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 330,430,135.

Example:
1 x 330,430,135 = 330,430,135
and
-1 x -330,430,135 = 330,430,135
Notice both answers equal 330,430,135

With that explanation out of the way, let's continue. Next, we take the number 330,430,135 and divide it by 2:

330,430,135 ÷ 2 = 165,215,067.5

If the quotient is a whole number, then 2 and 165,215,067.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 330,430,135
-1 -330,430,135

Now, we try dividing 330,430,135 by 3:

330,430,135 ÷ 3 = 110,143,378.3333

If the quotient is a whole number, then 3 and 110,143,378.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 330,430,135
-1 -330,430,135

Let's try dividing by 4:

330,430,135 ÷ 4 = 82,607,533.75

If the quotient is a whole number, then 4 and 82,607,533.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 330,430,135
-1 330,430,135
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

157351,2776,3857,3938,93936,96544,69551,751258,7559,440,86147,204,30566,086,027330,430,135
-1-5-7-35-1,277-6,385-7,393-8,939-36,965-44,695-51,751-258,755-9,440,861-47,204,305-66,086,027-330,430,135

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